Answer:
F = 591.8 N
Explanation:
Force on a moving charge in constant magnetic field is given as
[tex]F = q(\vec v \times \vec B)[/tex]
so we can say
[tex]F = qvBsin\theta[/tex]
here we know
[tex]q = 1.6 \times 10^{-19} C[/tex]
[tex]v = 0.844 m/s[/tex]
[tex]B = 0.260 T[/tex]
[tex]\theta = 50 degree[/tex]
now we have
[tex]F = (1.6 \times 10^{-19})(0.844)(0.260)sin50[/tex]
[tex]F = 2.69 \times 10^{-20} N[/tex]
Now concentration of Sodium ions is given as
[tex]C = 2.00 \times 10^{20} ions/cm^3[/tex]
total volume of blood = 110 cc
now total number of ions is given as
[tex]N = (2 \times 10^{20})(110) = 2.2 \times 10^{22} ions[/tex]
now total force on the hand is given as
[tex]F = (2.69 \times 10^{-20})(2.2 \times 10^{22})[/tex]
[tex]F = 591.8 N[/tex]
